Decimal Showdown

Standard Form

100

Three and eighty-seven hundredths?

3.87

200

(4 x 100) + (8 x 0.01) + (7 x 1) + (3 x 0.001)?

401.083

300

Six hundred forty-two and thirty-five hundredths

642.35

400

0.4 + 70 + 0.006 + 500?

570.406

500

(7 x ¹⁄₁₀₀₀) + (9 x 100) + (9 x ⅒) + (8 x 10)?

980.907

Word Form

100

45.6?

Forty-five and six tenths.

200

308.04?

Three hundred eight and four hundredths.

300

432.075?

Four hundred thirty-two and seventy-five thousandths. 

400

506.027?

Five hundred six and twenty-seven thousandths.

500

999.999

Nine hundred ninety-nine and nine hundred ninety-nine thousandths. 

Expanded (Fractions)

100

4.32

(4 x 1) + (3 x ⅒) + (2 x ¹⁄₁₀₀)

200

205.7

(2 x 100) + (5 x 1) + (7 x ⅒)

300

86.539

(8 x 10) + (6 x 1) + (5 x ⅒) + (3 x ¹⁄₁₀₀) + (9 x ¹⁄₁₀₀₀)

400

420.681

(4 x 100) + (2 x 10) + (6 x ⅒) + (8 x ¹⁄₁₀₀) + (1 x ¹⁄₁₀₀₀)

500

907.305

(9 x 100) + (7 x 1) + (3 x ⅒) + (5 x ¹⁄₁₀₀₀)

Expanded (Decimals)

100

52.6

(5 x 10) + (2 x 1) + (6 x 0.1)

200

406.25

(4 x 100) + (6 x 1) + (2 x 0.1) + (5 x 0.01)

300

731.408

(7 x 100) + (3 x 10) + (1 x 1) + (4 x 0.1) + (8 x 0.001)

400

905.072

(9 x 100) + (5 x 1) + (7 x 0.01) + (2 x 0.001)

500

680.509

(6 x 100) + (8 x 10) + (5 x 0.1) + (9 x 0.001)

Surprise!

100

Tanya needs to write the number twenty-one and twelve thousandths as a decimal on her science lab report. How should she write this in standard form?

21.012

200

Madeleine is helping her teacher measure the amount of water in a large container for a science experiment. The container holds 4.275 liters of water.

How would you write the amount of water in word form?

Four and two hundred seventy-five thousandths liters.

300

A school is preparing for a science fair. One of the students measured 6.304 meters of string for a project.

Write 6.304 in expanded form using decimals.

(6 x 1) + (3 x 0.1) + (4 x 0.001)

400

A class is measuring the length of a table for a classroom project. The table is 8.245 meters long.

Write 8.245 in expanded form using fractions.

(8 x 1) + (2 x ⅒) + (4 x ¹⁄₁₀₀) + (5 x ¹⁄₁₀₀₀)

500

Two students attempt to write the number 802.73 in another form, as shown.

Keegan: eight hundred two and seventy-three hundredths. 

Tabitha: (8 x 100) + (2 x 10) + (7 x ⅒) + (3 x ¹⁄₁₀₀)

Who is correct? Why?

Keegan is correct.

Keegan's number is 802.73, Tabitha's number is 820.73.